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Finding the Fourth Proportional to 299,157.84, 447,941.88 and 180,668.88

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Solution

The fourth proportional to 299,157.84, 447,941.88 and 180,668.88 is: 270,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,157.84 : 447,941.88 = 180,668.88 : x
  2. Step 2: Convert to fraction form
    299,157.84/447,941.88 = 180,668.88/x
  3. Step 3: Cross multiply
    299,157.84x = 447,941.88 × 180,668.88
  4. Step 4: Simplify right side
    299,157.84x = 80,929,157,764.69
  5. Step 5: Solve for x
    x = 80,929,157,764.69/299,157.84
  6. Step 6: Final answer
    x = 270,523.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.